One side of the rectangle is 2/5 of the other side. find the perimeter of a rectangle if its area is 10 m2.

First of all, we determine the lengths of the sides of the rectangle by making an equation for the formula to determine its area:
S = a * b.

According to the terms of the assignment, S = 10 m², one side is 2/5 of the other:

x * 2 / 5x = 10. On the left side of the equation, we perform actions with the variable:

2 / 5x² = 10. The second factor is the quotient of the first:

x² = 10: 2/5. When dividing fractions, flip the divisor and perform multiplication:

x² = 25.

Therefore: x = √25 = 5m – one side, and 2m – the other.

Let’s calculate the perimeter, according to the formula:
P = 2a + 2b = 2 * 5 + 2 * 2 = 10 + 4 = 14 m.